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Finding the Fourth Proportional to 317,059.76, 475,642.16 and 157,143.22

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Solution

The fourth proportional to 317,059.76, 475,642.16 and 157,143.22 is: 235,740.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,059.76 : 475,642.16 = 157,143.22 : x
  2. Step 2: Convert to fraction form
    317,059.76/475,642.16 = 157,143.22/x
  3. Step 3: Cross multiply
    317,059.76x = 475,642.16 × 157,143.22
  4. Step 4: Simplify right side
    317,059.76x = 74,743,940,590.16
  5. Step 5: Solve for x
    x = 74,743,940,590.16/317,059.76
  6. Step 6: Final answer
    x = 235,740.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.